Consider the following pattern: 5;8;11; ... ; ...

Mathematics

1 answer:

lukranit [14]2 years ago

3 0

Answer:

Step-by-step explanation:

The common difference is 8-5 = 3

The first next term is 11 + 3 = 14

The next (second) term is 14 + 3 = 17

tn = 5 + (n - 1)*3 This is part c

t20 = 5 + (20 - 1)*3

t20 = 5 + 19*3

t20 = 5 + 57

Answer t20 = 62

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Solve 3m- 5h = 45 for h

Masja [62]

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Lois made a dish with 6 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Loi

tatyana61 [14]

namely, how many times does 0.4 go into 6⅓? or 6⅓ ÷ 0.4.

first off, let's convert the mixed fraction to improper, and the decimal to a fraction . We can always convert the decimal to a fraction by simply <u>adding as many zeros on the denominator as there are decimals and lose the dot atop</u>, let's do so.

$\bf 0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}~\hfill \stackrel{mixed}{6\frac{1}{3}}\implies \cfrac{6\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{19}{3}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\stackrel{\textit{How many servings of pasta were in the dish?}}{6\frac{1}{3}\div 0.4\implies \cfrac{19}{3}\div \cfrac{2}{5}}\implies \cfrac{19}{3}\cdot \cfrac{5}{2}\implies \cfrac{95}{6}\implies 15\frac{5}{6}$